100112101101211 has 2 divisors, whose sum is σ = 100112101101212. Its totient is φ = 100112101101210.

The previous prime is 100112101101193. The next prime is 100112101101241. The reversal of 100112101101211 is 112101101211001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100112101101211 - 2²⁷ = 100111966883483 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112101101191 and 100112101101200.

It is not a weakly prime, because it can be changed into another prime (100112101101241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056050550605 + 50056050550606.

It is an arithmetic number, because the mean of its divisors is an integer number (50056050550606).

Almost surely, 2^{100112101101211} is an apocalyptic number.

100112101101211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112101101211 is an equidigital number, since it uses as much as digits as its factorization.

100112101101211 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100112101101211 its reverse (112101101211001), we get a palindrome (212213202312212).

The spelling of 100112101101211 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred one thousand, two hundred eleven".